is box 3 of decimal 32 the same as box 3 of decimal 64?
no
col : decimal32 | decimal64 | decimal128 | decimal(32k) | format row 1 : 1 | 1 | 1 | 1 | sign field (bits) row 2 : 5 | 5 | 5 | 5 | combination field (bits) row 3 : 6 | 8 | 12 | w = 2×k + 4 | exponent continuation field (bits) row 4 : 20 | 50 | 110 | t = 30×k−10 | coefficient continuation field (bits) row 5 : 32 | 64 | 128 | 32×k | total size (bits) row 6 : 7 | 16 | 34 | p = 3×t/10+1 = 9×k−2 | coefficient size (decimal digits) row 7 : 192 | 768 | 12288 | 3×2w = 48×4k | exponent range row 8 : 96 | 384 | 6144 | emax = 3×2w−1 | largest value is 9.99...×10emax row 9 : −95 | −383 | −6143 | emin = 1−emax | smallest normalized value is 1.00...×10emin row 10 : −101 | −398 | −6176 | etiny = 2−p−emax | smallest non-zero value is 1×10etiny
is box 3 of decimal 32 the same as box 3 of decimal 64?
decimal32 decimal64 decimal128 decimal(32k) Format
1 1 1 1 Sign field (bits)
5 5 5 5 Combination field (bits)
6 8 12 w = 2×k + 4 Exponent continuation field (bits)
20 50 110 t = 30×k−10 Coefficient continuation field (bits)
32 64 128 32×k Total size (bits)
7 16 34 p = 3×t/10+1 = 9×k−2 Coefficient size (decimal digits)
192 768 12288 3×2w = 48×4k Exponent range
96 384 6144 Emax = 3×2w−1 Largest value is 9.99...×10Emax
−95 −383 −6143 Emin = 1−Emax Smallest normalized value is 1.00...×10Emin
−101 −398 −6176 Etiny = 2−p−Emax Smallest non-zero value is 1×10Etiny
No