Download Class A2 IGCSE Computing Chapter 32 Number Bases

Transcript
To convert the number to be subtracted to a negative number, then add it
Consider : 30 – 20
First convert -20 to 20
20
0001 0100
-20
1110 1100
+30 0001 1110
0000 1010 = +10
Chapter 33 Floating Point Numbers
0.5 0.25 0.125 0.0625
.1/2
¼
1/8
1/6
Two decimal places in Decimals can hold even 1 paisa (of a rupee)
(discuss – what 2 decimal places in a binary can hold) 0.5,0.25, 0.75
Floating point binary
Consider a decimal – 12000 can be written as 12 * 10^5
Similarly binary – 110.1 can be written as 0.1101 * 2^3
Floating point binary is made up of a sign bit, mantissa (9 bits) and exponent (6
bits).
Example 1 :
0 110100000 000011
0.1101
2^3
110.1 Binary
3