Question

Add and multiply the following numbers without converting them to decimal.
(a) Binary numbers 1011 and 101.
(b) Hexadecimal numbers 2E and 34.​

Answer 1

Answer:

(a) addition of binary number

Binary value:

1011 + 101

= 10000

Decimal value:

11 + 5

= 16

Multiplication of binary number

1011 × 101

= 0110111

Decimal value:

11 × 5

= 55

(b) addition of hexadecimal number

2E + 34 = 62

Decimal value:

46 + 52 = 98

Multiplication of hexadecimal number

2E × 34 = 958

Decimal value:

46 × 52 = 2392