Basic Numeric Encoding - Practice

As with most activities, proficiency only comes with practice. So, here are some sample problems to work on. Don't just click on the "Solutions"; take the time to figure them out on your own before you check.

For all of the problems which follow, assume a 16-bit word. Notice the shorthand suffix notation to indicated whether values are decimal (d), binary (b), or hexadecimal (h).

Decimal - Unsigned Binary Conversions

Decimal to Unsigned Binary
- 1234 (d) = _________________________ (b)
- 254 (d) = _________________________ (b)
- Solutions
Unsigned Binary to Decimal
- 0000 0010 1001 0110 (b) = ____________ (d)
- 0000 1111 1111 1111 (b) = ____________ (d)
- Solutions

Decimal - 2's Complement Conversions

Decimal to 2's Complement
- 365(d) = _______________________ (b)
- -52(d) = _______________________ (b)
- Solutions
2's Complement to Decimal
- 1111 1101 0111 0110(b) = ________________ (d)
- 0000 0001 0110 0000(b) = ________________ (d)
- Solutions

Binary Arithmetic

Addition (with Flags)

determining the sum of the following additions and the state of the Zero, Carry, Sign and Overflow flags
- (0101 0110 1000 1101) + (0011 0001 1100 1110)
- (1000 1111 0011 1001) + (0111 0000 1100 0111)
- Solutions
Subtraction (with Flags)

determining the difference of the following subtractions and the state of the Zero, Carry, Sign and Overflow flags
- (0101 0110 1000 1101) - (0011 0001 1100 1110)
- (1000 1111 0011 1001) - (0111 0000 1100 0111)
- Solutions

Binary - Hexadecimal Conversions

Binary to Hexadecimal
- 10110110110101(b) = ________________(h)
- Solution
Hexadecimal to Binary
- 6AF2(h) = ___________________________________ (b)
- Solution

Decimal - Hexadecimal Conversions

Decimal to Hexadecimal
- 1997(d) = ___________________(h)
- -4321(d) = __________________(h)
- Solutions
Hexadecimal to Decimal
- 04B7(h) = ____________________ (d)
- A19C(h) = ____________________ (d)
- Solutions

Hexadecimal Aritmetic

Addition (with Flags)

determining the sum of the following additions and the state of the Zero, Carry, Sign and Overflow flags
- 3DF6 + 259A
- 8C0B + B8E7
- Solutions
Subtraction (with Flags)

determining the difference of the following subtractions and the state of the Zero, Carry, Sign and Overflow flags
- 3DF6 - 259A
- 8C0B - B8E7
- Solutions

Basic Numeric Encoding - Practice

Decimal - Unsigned Binary Conversions

Decimal to Unsigned Binary

Unsigned Binary to Decimal

Decimal - 2's Complement Conversions

Decimal to 2's Complement

2's Complement to Decimal

Binary Arithmetic

Addition (with Flags)

Subtraction (with Flags)

Binary - Hexadecimal Conversions

Binary to Hexadecimal

Hexadecimal to Binary

Decimal - Hexadecimal Conversions

Decimal to Hexadecimal

Hexadecimal to Decimal

Hexadecimal Aritmetic

Addition (with Flags)

Subtraction (with Flags)