IT430 1st Ass sol

Q2: Perform the conversions [5*2 = 10]

(a) 110 Decimal to Binary

2 110

2 55-0

2 27-1

2 13-1

2 6-1

2 3-0

2 1-1

Decimal to Binary

110 = 1101110

(b) 10011000 Binary to Decimal

2 0 *0+2 1 *0+2 2 *0+2 3 *1+2 4 *1+2 5 *0+2 6 *0+2 7 *1 = 0+0+0+8+16+0+0+128 = 152

(c) 11011100 Binary to Decimal

2 0 *0+2 1 *0+2 2 *1+2 3 *1+2 4 *1+2 5 *0+2 6 *1+2 7 *1 = 0+0+4+8+16+0+64+128 = 220

(d) 11111100 Binary to Decimal

2 0 *0+2 1 *0+2 2 *1+2 3 *1+2 4 *1+2 5 *1+2 6 *1+2 7 *1 = 0+0+4+8+16+32+64+128 = 252

(e) 3009 Decimal to Binary

2 3009

2 1504-1

2 752-0

2 376-0

2 188-0

2 94-0

2 47-0

2 23-1

2 11-1

2 5-1

2 2-1

2 1-0

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