# 1) The binary number corresponding to the decimal number(2.75)10 is a)(10.01)2 b)(10.11)2 c)(11.10)2 d)None of these 2)The binary number corresponding to (13.0625)10 is a)(1011.0010)2 b)(1110.0101)2 c)(1101.0001)2 d)none of these

1
by kaushikravikant

2015-04-16T02:20:42+05:30

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For decimal part,
The Number is 2.75

Decimal Part | The Number | Integer Part
0.75         2X0.75 = 1.50         1
0.50         2X0.50 = 1.00         1
0.00
And the binary for 0.75 is (11) {write from top to bottom the Integer Parts}

So 2.75 is 10.11

The Number is 13.0625
0.0625 | 2X0.0625=0.1250 | 0
0.1250 | 2X0.1250=0.2500 | 0
0.2500 | 2X0.2500=0.5000 | 0
0.5000 | 2X0.5000=1.0000 | 1

And the binary for 0.0625 is (0001)

So 13.0625 is 1101.0001

ANS: 1. (b) 2. (c)